Answered: Given in the table are the BMI…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 59E

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Question

Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts.

a. The test statistic, t, is

(Round to two decimal places as needed.)

b. The P-value is

(Round to three decimal places as needed.)

c. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI.

less than mu 1 minus mu 2l ess than

(Round to three decimal places as needed.)

D
EFXS
μ
n
Male BMI Female BMI
H₁
H₂
43
43
27.7938
24.4787
7.704005
5.594714

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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